annettepr1747 annettepr1747
  • 16-01-2024
  • Mathematics
contestada

Let Z be the standard normal random variable.
(a) Find the value of the probability density function f X (x) of X = |Z + 1| for x = 1.
(b) Find the value of the probability density function f Y (y) of Y = eᶻ for y = 2.
(c) Find E[Y⁵] (Hint: this problem is closely related to the moment generating function for the normal distribution.)

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